144100101213200 has 120 divisors (see below), whose sum is σ = 383864630990016. Its totient is φ = 51541019712000.

The previous prime is 144100101213151. The next prime is 144100101213209. The reversal of 144100101213200 is 2312101001441.

It is a super-2 number, since 2×144100101213200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (144100101213209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268174412 + ... + 268711211.

Almost surely, 2^{144100101213200} is an apocalyptic number.

144100101213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144100101213200 is an abundant number, since it is smaller than the sum of its proper divisors (239764529776816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144100101213200 is a wasteful number, since it uses less digits than its factorization.

144100101213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536885713 (or 536885702 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 144100101213200 its reverse (2312101001441), we get a palindrome (146412202214641).

The spelling of 144100101213200 in words is "one hundred forty-four trillion, one hundred billion, one hundred one million, two hundred thirteen thousand, two hundred".